$$x+1- \frac{ 8x }{ 3 } = \frac{ 17-15x }{ 6 }$$
$x = \frac{11}{5} = 2\frac{1}{5} = 2.2$
$$6x+6-2\times 8x=17-15x$$
$$6x+6-16x=17-15x$$
$$-10x+6=17-15x$$
$$-10x+6+15x=17$$
$$5x+6=17$$
$$5x=17-6$$
$$5x=11$$
$$x=\frac{11}{5}$$
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